DUALITY OF TIME:
Complex-Time Geometry and Perpetual Creation of Space
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5.3.3.7 Method III (from the Definition of Momentum)
The total relativistic energy in equation 5.11 can also be obtained by integrating the starting equation 5.6 over the inner and outer time together, since in the inner time the rest energy
, or mass
, is generated at the speed of light
as a result of the instantaneous coupling between the geometrical points which constitutes the particle of mass
(thus
and
in the inner time), and in the outer time the kinetic energy
is generated as this mass
moves gradually so its apparent velocity changes by
, which corresponds to increasing the effective mass from
to
, thus we can integrate:
(5.13)
Thus we get the same equation 5.11 or 5.12:
(5.14)
This equation can also be given in the general form that relates the relativistic energy and momentum (see Appendix 3.3.8 for how to convert between these two equations):
(5.15)
This last equation, that is equivalent to equation 5.14, will be also derived directly from the Duality of Time postulate in section 3.4, while in Appendix 3.3.8 we show how to derive it classically from equation 5.12 starting from the effective mass relation:
.
Again, however, a fundamental derivation of this relativistic energy-momentum equation 5.15 is also not possible without the Duality of Time postulate. All the current derivations in the literature rely on the effective mass relation:
, which is equivalent to the same relation we are trying to derive (see above and also Appendix 3.3.8), while finding this equation from the four-momentum expression, or space-time symmetry, relies on induction rather than rigorous mathematical formulation.
... os and Duality of Time Theory, authored by Mohamed Haj Yousef, in addition to some other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
... os and Duality of Time Theory, authored by Mohamed Haj Yousef, in addition to some other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
... t the Islamic concept of time and its implications on modern physics and cosmology. ...
... hored by Mohamed Haj Yousef, in addition to some other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
... ion to some other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
... os and Duality of Time Theory, authored by Mohamed Haj Yousef, in addition to some other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
... f the Cosmos and Duality of Time Theory, authored by Mohamed Haj Yousef, in addition to some other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
... other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
... os and Duality of Time Theory, authored by Mohamed Haj Yousef, in addition to some other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
... os and Duality of Time Theory, authored by Mohamed Haj Yousef, in addition to some other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
... os and Duality of Time Theory, authored by Mohamed Haj Yousef, in addition to some other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
... os and Duality of Time Theory, authored by Mohamed Haj Yousef, in addition to some other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
... os and Duality of Time Theory, authored by Mohamed Haj Yousef, in addition to some other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
... os and Duality of Time Theory, authored by Mohamed Haj Yousef, in addition to some other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
... os and Duality of Time Theory, authored by Mohamed Haj Yousef, in addition to some other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
... os and Duality of Time Theory, authored by Mohamed Haj Yousef, in addition to some other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
... os and Duality of Time Theory, authored by Mohamed Haj Yousef, in addition to some other related books about the Islamic concept of time and its implications on modern physics and cosmology. ...
The science of Time is a noble science, that reveals the secret of Eternity. Only the Elites of Sages may ever come to know this secret. It is called the First Age, or the Age of ages, from which time is emerging.
